math help

What is 22/22 + 1/6?

What is 22/22 + 1/6?

This is how you add

22
22
+
1
6

Step 1

Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.

So, we multiply 22 by 6, and get 132, then we multiply 22 by 6 and get 132.

22/22 times 6

Now for the second term. You multiply 1 by 22, and get 22, then multiply 22 by 6 and get 132.

1/6 times 22

We now have a new problem, that looks like this:

132
132
+
22
132

Step 2

Since our denominators match, we can add the numerators.

132 + 22 = 154

Answer:

154
132

Step 3

Now, do we need to simplify this fraction?

First, we attempt to divide it by 2...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

154
132
÷ 2 =
77
66

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

Are both the numerator and the denominator evenly divisible by 11? Yes! So we reduce it:

77
66
÷ 11 =
7
6

Let's try dividing by that again...

No good. 11 is larger than 7. So we're done reducing.

There you have it! Here's the final answer to 22/22 + 1/6

22
22
+
1
6
=
7
6
© 2014 Randy Tayler